Geometry and meshes
Geometry-aware topological decompositions of meshes
... Doctor of Philosophy in Computer Science University of California, Irvine, 2019 Professor Gopi Meenakshisundaram, Chair Topology captures a surfaces global features invariant to local deformation, and many geom- etry ...
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The geometry of r adaptive meshes generated using optimal transport methods
... 4. Alignment to a radially symmetric feature. In this section we look at radially symmetric features with small length scales. These tend to arise in applica- tions either in the form of singularities (such as in ...
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Component-based Geometry Manipulation for Aerodynamic Shape Optimization with Overset Meshes
... overset meshes where multiple high-quality structured meshes corresponding to different aircraft components overlap to model the full aircraft ...the geometry manipulation standpoint, most methods ...
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Incorporating curvature to the boundary of linear and highorder meshes when a target geometry is unavailable
... linear meshes, element entities are connected by linear ...high-order meshes, higher degree polynomials are used and the physical model is represented more accu- ...high-order meshes has been ...
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The Quasidiffusion Method for Solving Radiation Transport Problems on Arbitrary Quadrilateral Meshes in 2D r-z Geometry.
... z geometry, as many have been developed for this purpose even for use on arbitrary ...curvilinear geometry, however, we will limit our discussion to deterministic ...
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Robust Intersection of Structured Hexahedral Meshes and Degenerate Triangle Meshes with Volume Fraction Applications
... in the lower right part of the zoom in reveals that the geometry contains a double surface. Grid convergence and CPU times were analyzed and compared. For the grid study, the fluid grid was stored in an octree and ...
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Approximation of surfaces by normal meshes
... and will provide an algorithm that provides explicit control over this trade-off. To gain the advantages of normal mesh representations, arbitrary input geometry must be re- meshed so that almost all offsets are ...
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Compression and Streaming of Polygon Meshes
... for Meshes have also been investigated by (Mc- Mains et ...far meshes were moderately sized and memory usage is at most linear in mesh ...today’s meshes most in need of compression are those above ...
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Generation of Polyhedral Delaunay Meshes
... 2.1. Mesh generation algorithm We have developed a mixed element mesh generator [14] based on an extension of octrees [8,9]. Our approach starts enclosing the domain in the smallest bounding box (cuboid). Second, this ...
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Dynamic Progressive Triangle-Quadrilateral Meshes
... Progressive Meshes, Level of Detail, Crash Simulation, Animation, Quadrilaterals, Dynamic ...quadrilateral meshes over triangular meshes (Figure 1), since three-noded constant strain triangles behave ...
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Recursive Tetrahedral Meshes for Scientific Visualization,
... 6.1 Mesh Refinement and Isosurface Ex- traction As described in Section 4, the mesh supports the dual queue split/merge refinement strategy [8]. This strategy provides more frame-to-frame coherence than a coarse-to-fine ...
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Multilevel Solvers for Unstructured Surface Meshes
... SURFACE MESHES ∗ BURAK AKSOYLU † , ANDREI KHODAKOVSKY † , AND PETER SCHR ¨ ODER † ...surface meshes is of fundamental importance in many applications of digital geometry ...underlying meshes ...
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Streaming Compression of Tetrahedral Volume Meshes
... In this paper we describe an algorithm for streaming compres- sion of tetrahedral volume meshes. Given streaming mesh input, our compressor simultaneously reads the mesh, encodes incoming tetrahedra and vertices, ...
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Hodge Laplacians on simplicial meshes and graphs
... of meshes for which DEC error appears not to go to zero whereas the FEEC error ...mesh geometry in this ...Delaunay meshes that are common in the finite element ...
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From medical images to computational meshes
... vessel geometry (combination of curved vessels, possible branching segment, wall lesions and slight taper), straight segments in the direction of the local axis computed are ...
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Discrete differential operators on polygonal meshes
... surface meshes relies heavily on the discretization of differential operators such as gradient, Laplacian, and covariant deriva- ...triangulated meshes have been developed and used for decades, a similar ...
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VEM and topology optimization on polygonal meshes
... unstructured meshes are needed to deal with geometry of any shape, additional instabilities can steer the optimizer towards local minima, instead of the expected global one, when using the classical ...
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Digital Watermarking of Compressed 3D Meshes
... information: geometry and connectivity, the first describing coordinates of the vertices in the 3D space, and the later describing how to connect these ...about geometry compression which is often simply ...
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On optimal polynomial meshes
... admissible meshes is related to norming sets which are widely used in the ...admissible meshes which are optimal or near optimal in the sense that the cardinality of sets Y n does not grow too ...admissible ...
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Computing Geodesics on Triangular Meshes ⋆
... over meshes sharing all these prop- erties; as a consequence there are some different definitions for geodesic curves on discrete surfaces, discussed in section ...
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